Magnetohdrodynamic heat transfer in two fluid flow

Abstract

The problem of two-fluid magnetohydrodynamic flow andheat transfer in a parallel plate channel is investigated. The two immiscible fluids are assumed to be incompressible, electrically conducting, and have different viscosities, thermal and electrical conductivities. The transport properties of the two fluids are taken to be constant and the plates are maintained at constant temperature. Analytical solution for velocity and temperature distributions are obtained and are computed for different values of parameters. The results are shown graphically. We found that the increase in the Hartmann number, M, decreases the velocity and temperature distributions. It is shown that, for small ? (the ratio of viscosities), the fluid in one of the regions act as a slag layer. It is also found that the effect of ?, the ratio of electrical conductivities is to decrease the velocity where as an increase in the value of ? increases the temperature because of the joule heating due to induced current.